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810413970 = 2351723591171
BaseRepresentation
bin110000010011011…
…110111110010010
32002110221021222020
4300103132332102
53124431221340
6212225552310
726040255642
oct6023367622
92073837866
10810413970
11386504013
121a74a5696
13cbb8acc2
14798ba522
154b2329d0
hex304def92

810413970 has 128 divisors (see below), whose sum is σ = 2187233280. Its totient is φ = 191093760.

The previous prime is 810413969. The next prime is 810413999. The reversal of 810413970 is 79314018.

It is a super-3 number, since 3×8104139703 (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 691485 + ... + 692655.

It is an arithmetic number, because the mean of its divisors is an integer number (17087760).

Almost surely, 2810413970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 810413970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093616640).

810413970 is an abundant number, since it is smaller than the sum of its proper divisors (1376819310).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

810413970 is a wasteful number, since it uses less digits than its factorization.

810413970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280.

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 810413970 is about 28467.7707241013. The cubic root of 810413970 is about 932.3285273381.

Adding to 810413970 its reverse (79314018), we get a palindrome (889727988).

The spelling of 810413970 in words is "eight hundred ten million, four hundred thirteen thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 10 15 17 23 30 34 46 51 59 69 85 102 115 118 138 170 177 230 255 295 345 354 391 510 590 690 782 885 1003 1171 1173 1357 1770 1955 2006 2342 2346 2714 3009 3513 3910 4071 5015 5855 5865 6018 6785 7026 8142 10030 11710 11730 13570 15045 17565 19907 20355 23069 26933 30090 35130 39814 40710 46138 53866 59721 69089 69207 80799 99535 115345 119442 134665 138178 138414 161598 199070 207267 230690 269330 298605 345445 346035 403995 414534 457861 597210 690890 692070 807990 915722 1036335 1174513 1373583 1589047 2072670 2289305 2349026 2747166 3178094 3523539 4578610 4767141 5872565 6867915 7047078 7945235 9534282 11745130 13735830 15890470 17617695 23835705 27013799 35235390 47671410 54027598 81041397 135068995 162082794 270137990 405206985 810413970